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What is the argument of the complex numb...

What is the argument of the complex number `(-1-i)` where `i=sqrt(-1)`?

A

`(5pi)/(4)`

B

`-(5pi)/(4)`

C

`(3pi)/(4)`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
A
Let `z=-1-i`
Since Real paret of `z lt0` and Imaginary part of `zlt0` therefore argument lies in `III^(rd)` quadrant are `(z)=pi+tan^(-1)|(-1)/(-1)|=pi+(pi)/(4)=(5pi)/(4)`
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